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Finding the Fourth Proportional to 9,413.49, 12,989.13 and 5,433.86

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Solution

The fourth proportional to 9,413.49, 12,989.13 and 5,433.86 is: 7,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.49 : 12,989.13 = 5,433.86 : x
  2. Step 2: Convert to fraction form
    9,413.49/12,989.13 = 5,433.86/x
  3. Step 3: Cross multiply
    9,413.49x = 12,989.13 × 5,433.86
  4. Step 4: Simplify right side
    9,413.49x = 70,581,113.94
  5. Step 5: Solve for x
    x = 70,581,113.94/9,413.49
  6. Step 6: Final answer
    x = 7,497.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.